Maximal orders in semigroups1

DOI10.1080/00927879908826427zbMath0922.20064OpenAlexW2090686030MaRDI QIDQ4238607

Paula Smith, J. B. Fountain, Victoria Gould

Publication date: 18 October 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826427

zbMATH Keywords

regular semigroupsweak ordersmaximal orderscommutative cancellative monoidsquotientssquare-cancellable elementsweak left orders

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Commutative semigroups (20M14) Regular semigroups (20M17)

Cites Work

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• Completely 0-simple semigroups of quotients
• Maximal orders in completely 0-simple semigroups
• Left orders in completely \(0\)-simple semigroups
• Orders in regular rings with minimal condition for principal right ideals
• Left orders in regular rings with minimum condition for principal one-sided ideals
• Clifford semigroups of left quotients
• STRAIGHT LEFT ORDERS IN RINGS
• Orders in semiprime rings with minimal condition for principal right ideals
• Left orders in strongly regular rings
• Structure theorem for prime rings satisfying a generalized identity
• Completely Right Injective Semigroups
• COMPLETELY 0-SIMPLE SEMIGROUPS OF LEFT QUOTIENTS OF A SEMIGROUP
• Orders in rings without identity

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